10389060000 has 900 divisors, whose sum is σ = 42758489466. Its totient is φ = 2471040000.

The previous prime is 10389059983. The next prime is 10389060001. The reversal of 10389060000 is 6098301.

10389060000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 509495184 + 9879564816 = 22572^2 + 99396^2 .

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10389060001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 196019974 + ... + 196020026.

Almost surely, 2^10389060000 is an apocalyptic number.

10389060000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10389060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21379244733).

10389060000 is an abundant number, since it is smaller than the sum of its proper divisors (32369429466).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10389060000 is an equidigital number, since it uses as much as digits as its factorization.

10389060000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 10389060000 in words is "ten billion, three hundred eighty-nine million, sixty thousand".